# Time Differential

on . Posted in Classical Mechanics

Time differential, abbreviated as $$\Delta t'$$, is the time that has passed as measured by a stationary observer.

## Time Differential formula

$$\large{ \Delta t' = \gamma \; \Delta t }$$
Symbol English Metric
$$\large{ \Delta t' }$$ = time differential $$\large{ sec }$$  $$\large{ s }$$
$$\large{ \gamma }$$ (Greek symbol gamma) = Lorentz factor $$\large{ dimensionless }$$
$$\large{ \Delta t }$$ = time that has passed by the traveling observer $$\large{ sec }$$ $$\large{ s }$$

## Time Differential formula

$$\large{ \Delta t' = \frac{\Delta t}{\sqrt{1\;-\;\frac{v^2}{c^2} } } }$$
Symbol English Metric
$$\large{ \Delta t' }$$ = time differential $$\large{ sec }$$  $$\large{ s }$$
$$\large{ \Delta t }$$ = time that has passed by the traveling observer $$\large{ sec }$$ $$\large{ s }$$
$$\large{ v }$$ = velocity of the traveling observer $$\large{\frac{ft}{sec}}$$  $$\large{\frac{m}{s}}$$
$$\large{ c }$$ = speed of light $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ 